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Integer sequences
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#	Item
931	Warm-Up 12 Solutions 1. $ [removed]or 2123 Add to Reading List Source URL: agmath.com Language: English - Date: 2014-04-03 18:02:15 Elementary arithmetic Mathematical series Divisibility rule Elementary number theory Digit sum Prime number Factorial Pi Cube Mathematics Number theory Integer sequences
932	R Recent and Noteworthy Sequences in the OEIS:⃝ The Illustrations N. J. A. Sloane, The OEIS Foundation Inc., Add to Reading List Source URL: neilsloane.com Language: English - Date: 2012-12-15 12:35:13 Integer sequences On-Line Encyclopedia of Integer Sequences Mathematics
933	Kalm´ar’s Composition Constant Steven Finch June 5, 2003 Add to Reading List Source URL: www.people.fas.harvard.edu Language: English - Date: 2003-05-30 05:49:00 Prime numbers Combinatorics Arithmetic functions Multiplicative partition Partition Prime power Multiplicative inverse Mathematics Integer sequences Number theory
934	2014 UI UNDERGRADUATE MATH CONTEST 1. (a) Does there exist a multiple of 2013 whose decimal representation ends in the digits 2014? Explain! (b) Does there exist a power of 2 whose decimal representation ends in the digi Add to Reading List Source URL: www.math.illinois.edu Language: English - Date: 2014-02-15 21:13:52 Combinatorics Integer sequences Decimal representation Multiplication Factorial Binary-coded decimal Mathematics Mathematical notation Number theory
935	Integer Logarithm Aubrey Jaffer March 2008 Bignum software packages provide operations on practically unbounded size integers. They typically include an integer-exponentiation operator but not its inverse: procedure: int Add to Reading List Source URL: people.csail.mit.edu Language: English - Date: 2008-06-01 14:14:46 Binary operations Exponentiation Integer sequences Mathematics Abstract algebra Logarithms
936	UIUC UNDERGRADUATE MATH CONTEST April 8, 2006 Solutions 1. Determine, without numerical calculations, which of the two numbers Add to Reading List Source URL: www.math.illinois.edu Language: English - Date: 2006-04-08 17:58:25 Combinatorics Integer sequences Number theory Real analysis Taylor series Factorial Summation Exponentiation Characterizations of the exponential function Mathematics Mathematical analysis Exponentials
937	U OF I UNDERGRADUATE MATH CONTEST April 14, [removed]Let f (n) = (12 + 1)1! + (22 + 1)2! + · · · + (n2 + 1)n!. Find a simple general formula for f (n). 2. Prove that for every odd integer n the sum 1n + 2n + · · · + Add to Reading List Source URL: www.math.illinois.edu Language: English - Date: 2007-04-14 19:13:43 Number theory Combinatorics Factorial Pi Summation Mathematics Mathematical analysis Integer sequences
938	2014 UI UNDERGRADUATE MATH CONTEST Solutions 1. (a) Does there exist a multiple of 2013 whose decimal representation ends in the digits 2014? Explain! (b) Does there exist a power of 2 whose decimal representation ends i Add to Reading List Source URL: www.math.illinois.edu Language: English - Date: 2014-02-15 21:13:47 Integer sequences Number theory Exponentials Binomial coefficient Factorial Summation Exponential function Proof that π is irrational Basel problem Mathematics Mathematical analysis Combinatorics
939	U OF I UNDERGRADUATE MATH CONTEST April 14, 2007 Solutions 1. Let f (n) = (12 + 1)1! + (22 + 1)2! + · · · + (n2 + 1)n!. Find a simple general formula for f (n). Add to Reading List Source URL: www.math.illinois.edu Language: English - Date: 2007-04-14 19:13:44 Number theory Exponentials Factorial Summation Exponentiation Mathematics Combinatorics Integer sequences
940	UIUC UNDERGRADUATE MATH CONTEST April 12, 2003 Solutions 1. Let Add to Reading List Source URL: www.math.illinois.edu Language: English - Date: 2003-04-12 16:50:35 Integer sequences Number theory Factorial Proof that π is irrational Binomial coefficient Mathematics Mathematical analysis Combinatorics

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